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samnatha
 2 years ago
in a particular game a player throws two fair dice together.
if their total is 7 or 11 he wins
if their total is 2,3 or 12 he looses
for any other total, he neither wins or looses.
(i) find the probability of winning
(ii) find the probability of losing
samnatha
 2 years ago
in a particular game a player throws two fair dice together. if their total is 7 or 11 he wins if their total is 2,3 or 12 he looses for any other total, he neither wins or looses. (i) find the probability of winning (ii) find the probability of losing

This Question is Closed

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Start with listing all your possible dice pair outcomes and count the number of 7's and 11's out of all possible outcomes. That gives your probability of winning. Same process with the losing for 2, 3, and 12.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1So start with "all possible outcomes". How many of those are there? hint: each die has 6 faces.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Better start with one die. How many outcomes?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Yes. Now for EACH GIVEN outcome on that first die, you can have 6 outcomes on the second die. So, 6 x 6 = 36 possible outcomes for a roll of 2 die. Now, it really would be beneficial for you to write out on paper a 2dimensional table where horizontal is one die and vertical is the other die and make a table of 36 rolls. That will benefit you immensely here.

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0is the answer for part (i) 2over 9 ?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, 2/9 for winning. That comes from 6 7's and 2 11's inning rolls out of a possible 36: 8/36 = 2/9 Good job!

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0yeah ok thank you is is the same method for loosing aswell ?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Very similar. Add up all 2's (there's just 1), all 3's (there are 2) and all 12's (there's 1) for that total over 36.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, because 4/36 = 1/9. This would be a nice game to play because you win more than lose!

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0thank you :) i actuallt have a similar question to that and i was wondering if i got it right or not do you mind checking for me ?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Good luck in all of your studies and thx for the recognition! @samnatha I'll check it if you like.

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0thank you i think i sent to you in mail :)

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0i'll just put it here aswell :)

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0this circle is divided into 6 equal sectors. you pay €10 to spin the arrow and you win the amount in the sector where the arrow stops. what is the expected amount you win or loose in this game ? theres a picture of a cirlce aswell divided into 6 sections in each section there is different numbers which are €0 €30 €10 €10 €0 and €5

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Since you pay 10 to play, we are really talking about the "net" winning or losing, so you can actually redo the 6 sectors as a "net" amount: 10, +20, 0, 0, 10, 5 You add those up and divide by 6 to get 5/6. Not a good game to play. Over time, you lose big.

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0ok i'm slighlt confused on how you did all that not great at probability

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1np. Each sector is equally likely, and for each sector, we can conceptually see ourselves handing over 10 (at first, to play) and then getting back some money (if any for that sector). So, for example, if we landed on "get 30", it's a net of 20 because we had to pay 10 up front. Your expected value is the net amount times the probability of landing in that sector. It is 1/6 times each sector and then all added up. Or you could just add them all up first: (1/6)(10) + (1/6)(20) + (1/6)(0) + (1/6)(0) + (1/6)(10) + (1/6)(5) or what I did: (1/6)(10 + 20 + 0 + 0 + 10 5)

samnatha
 2 years ago
Best ResponseYou've already chosen the best response.0ooh ok thank you i am use to doing it the other way so that made more sense thanks alot :)
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